[PDF][PDF] Position-dependent random maps in one and higher dimensions
W Bahsoun, P Gora - 2009 - researchgate.net
A random map is a discrete-time dynamical system in which one of a number of
transformations is randomly selected and applied on each iteration of the process. In this …
transformations is randomly selected and applied on each iteration of the process. In this …
Weakly convex and concave random maps with position dependent probabilities
W Bahsoun, P Góra - 2003 - Taylor & Francis
A random map is a discrete‐time dynamical system in which one of a number of
transformations is randomly selected and applied in each iteration of the process. In this …
transformations is randomly selected and applied in each iteration of the process. In this …
Invariant measures for position dependent random maps with continuous random parameters
T Inoue - Studia Mathematica, 2012 - infona.pl
We consider a family of transformations with a random parameter and study a random
dynamical system in which one transformation is randomly selected from the family and …
dynamical system in which one transformation is randomly selected from the family and …
Absolutely continuous invariant measures for random maps with position dependent probabilities
P Góra, A Boyarsky - Journal of mathematical analysis and applications, 2003 - Elsevier
A random map is discrete-time dynamical system in which one of a number of
transformations is randomly selected and applied at each iteration of the process. Usually …
transformations is randomly selected and applied at each iteration of the process. Usually …
Invariant densities for random maps of the interval
S Pelikan - Transactions of the American Mathematical Society, 1984 - ams.org
A random map is a discrete time process in which one of a number of functions is selected at
random and applied. Here we study random maps of $[0, 1] $ which represent dynamical …
random and applied. Here we study random maps of $[0, 1] $ which represent dynamical …
First return maps of random maps and invariant measures
T Inoue - Nonlinearity, 2019 - iopscience.iop.org
We consider a family of transformations and study a random dynamical system such that one
transformation is randomly selected from the family and then applied on each iteration. To …
transformation is randomly selected from the family and then applied on each iteration. To …
Random mappings on infinite dimensional spaces
DH Thang - Stochastics: An International Journal of Probability and …, 1998 - Taylor & Francis
In this paper, the problem of defining the action of a random mapping on random inputs is
investigated and illustrated by examples. This problem is closely related with the study of …
investigated and illustrated by examples. This problem is closely related with the study of …
Existence of absolutely continuous invariant measures for higher-dimensional random maps
A Boyarsky, YS Lou - Dynamics and Stability of Systems, 1992 - Taylor & Francis
A random map is a discrete-time dynamical system in which one of a number of
transformations is selected randomly and applied. The main result of this paper provides a …
transformations is selected randomly and applied. The main result of this paper provides a …
On a random mapping (T, Pj)
J Jaworski - Journal of applied probability, 1984 - cambridge.org
A random mapping (T, Pj) of a finite set V into itself is studied. We give a new proof of the
fundamental lemma of [6]. Our method leads to the derivation of several results which cannot …
fundamental lemma of [6]. Our method leads to the derivation of several results which cannot …
A random fixed point theorem and the random graph transformation
B Schmalfuss - Journal of Mathematical Analysis and Applications, 1998 - Elsevier
In the first part of this article we formulate a random fixed point theorem for random
dynamical systems where a contraction condition is formulated as an expectation of a …
dynamical systems where a contraction condition is formulated as an expectation of a …